IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v33y2024i2d10.1007_s10726-023-09864-8.html
   My bibliography  Save this article

Values for Restricted Games with Externalities

Author

Listed:
  • M. Josune Albizuri

    (Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU))

  • Satoshi Masuya

    (Daito Bunka University)

  • José M. Zarzuelo

    (Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU))

Abstract

We study cooperative games in which some of the coalitions are not viable and in addition, there are externalities among the feasible coalitions. These games are called here restricted partition function form games. For this class of games, two extensions of the Shapley value are proposed and characterized.

Suggested Citation

  • M. Josune Albizuri & Satoshi Masuya & José M. Zarzuelo, 2024. "Values for Restricted Games with Externalities," Group Decision and Negotiation, Springer, vol. 33(2), pages 351-369, April.
  • Handle: RePEc:spr:grdene:v:33:y:2024:i:2:d:10.1007_s10726-023-09864-8
    DOI: 10.1007/s10726-023-09864-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-023-09864-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10726-023-09864-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Grabisch, Michel & Funaki, Yukihiko, 2012. "A coalition formation value for games in partition function form," European Journal of Operational Research, Elsevier, vol. 221(1), pages 175-185.
    2. Aguilera, Néstor E. & Di Marco, Silvia C. & Escalante, Mariana S., 2010. "The Shapley value for arbitrary families of coalitions," European Journal of Operational Research, Elsevier, vol. 204(1), pages 125-138, July.
    3. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2006. "Efficient bidding with externalities," Games and Economic Behavior, Elsevier, vol. 57(2), pages 304-320, November.
    4. Michel Grabisch, 2010. "The lattice of embedded subsets," Post-Print hal-00457827, HAL.
    5. McQuillin, Ben, 2009. "The extended and generalized Shapley value: Simultaneous consideration of coalitional externalities and coalitional structure," Journal of Economic Theory, Elsevier, vol. 144(2), pages 696-721, March.
    6. Michel Grabisch & Peter Sudhölter, 2016. "Characterizations of solutions for games with precedence constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01297600, HAL.
    7. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    8. Cheng-Cheng Hu & Yi-You Yang, 2010. "An axiomatic characterization of a value for games in partition function form," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 1(4), pages 475-487, September.
    9. van den Brink, Rene & Gilles, Robert P., 1996. "Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures," Games and Economic Behavior, Elsevier, vol. 12(1), pages 113-126, January.
    10. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    11. Macho-Stadler, Inés & Pérez-Castrillo, David & Wettstein, David, 2018. "Values for environments with externalities – The average approach," Games and Economic Behavior, Elsevier, vol. 108(C), pages 49-64.
    12. M. Josune Albizuri & Satoshi Masuya & José M. Zarzuelo, 2022. "Characterization of a value for games under restricted cooperation," Annals of Operations Research, Springer, vol. 318(2), pages 773-785, November.
    13. M. J. Albizuri & J. Arin & J. Rubio, 2005. "An Axiom System For A Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 63-72.
    14. repec:hal:pseose:hal-01297600 is not listed on IDEAS
    15. Willson, Stephen J, 1993. "A Value for Partially Defined Cooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 371-384.
    16. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 37-44.
    17. Encarnación Algaba & René Brink & Chris Dietz, 2018. "Network Structures with Hierarchy and Communication," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 265-282, October.
    18. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
    2. Andrea Caggese & Ander Pérez-Orive, 2017. "Capital Misallocation and Secular Stagnation," Finance and Economics Discussion Series 2017-009, Board of Governors of the Federal Reserve System (U.S.).
    3. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro & A. Jiménez-Losada, 2021. "Marginality and convexity in partition function form games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(1), pages 99-121, August.
    4. David Wettstein & David Pérez-Castrillo & Inés Macho-Stadler, 2017. "Extensions of the Shapley value for Environments with Externalities," Working Papers 1002, Barcelona School of Economics.
    5. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2015. "Sharing the surplus in games with externalities within and across issues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 315-343, October.
    6. Oskar Skibski & Tomasz Michalak, 2020. "Fair division in the presence of externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 147-172, March.
    7. Frank Huettner & André Casajus, 2019. "Marginality, dividends, and the value in games with externalities," ESMT Research Working Papers ESMT-19-01, ESMT European School of Management and Technology.
    8. Casajus, André & Funaki, Yukihiko & Huettner, Frank, 2024. "Random partitions, potential, value, and externalities," Games and Economic Behavior, Elsevier, vol. 147(C), pages 88-106.
    9. Andr'e Casajus & Yukihiko Funaki & Frank Huettner, 2024. "Random partitions, potential, value, and externalities," Papers 2402.00394, arXiv.org, revised Jun 2024.
    10. Macho-Stadler, Inés & Pérez-Castrillo, David & Wettstein, David, 2018. "Values for environments with externalities – The average approach," Games and Economic Behavior, Elsevier, vol. 108(C), pages 49-64.
    11. René Brink & Dinko Dimitrov & Agnieszka Rusinowska, 2021. "Winning coalitions in plurality voting democracies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 509-530, April.
    12. Grabisch, Michel & Funaki, Yukihiko, 2012. "A coalition formation value for games in partition function form," European Journal of Operational Research, Elsevier, vol. 221(1), pages 175-185.
    13. Michel Grabisch, 2010. "The lattice of embedded subsets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00457827, HAL.
    14. David Wettstein & David Pérez-Castrillo & Inés Macho-Stadler, 2016. "Values for Environments with Externalities – The Average Approach," Working Papers 919, Barcelona School of Economics.
    15. Skibski, Oskar & Michalak, Tomasz P. & Wooldridge, Michael, 2018. "The Stochastic Shapley Value for coalitional games with externalities," Games and Economic Behavior, Elsevier, vol. 108(C), pages 65-80.
    16. Saavedra–Nieves, Alejandro & Casas–Méndez, Balbina, 2023. "On the centrality analysis of covert networks using games with externalities," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1365-1378.
    17. Julio Rodríguez-Segura & Joss Sánchez-Pérez, 2017. "An Extension of the Solidarity Value for Environments with Externalities," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-12, June.
    18. Borm, Peter & Ju, Yuan & Wettstein, David, 2015. "Rational bargaining in games with coalitional externalities," Journal of Economic Theory, Elsevier, vol. 157(C), pages 236-254.
    19. Takaaki Abe & Yukihiko Funaki, 2021. "The projective core of symmetric games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 167-183, March.
    20. M. Albizuri, 2010. "Games with externalities: games in coalition configuration function form," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(1), pages 171-186, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:33:y:2024:i:2:d:10.1007_s10726-023-09864-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.